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Finding the Fourth Proportional to 477,159.75, 715,621.53 and 285,086.61

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Solution

The fourth proportional to 477,159.75, 715,621.53 and 285,086.61 is: 427,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,159.75 : 715,621.53 = 285,086.61 : x
  2. Step 2: Convert to fraction form
    477,159.75/715,621.53 = 285,086.61/x
  3. Step 3: Cross multiply
    477,159.75x = 715,621.53 × 285,086.61
  4. Step 4: Simplify right side
    477,159.75x = 204,014,116,030.71
  5. Step 5: Solve for x
    x = 204,014,116,030.71/477,159.75
  6. Step 6: Final answer
    x = 427,559.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.